@article{Khan2024, 
author = {Abdul Qadeer Khan and Ayesha Yaqoob and Ateq Alsaadi},
title = {Neimark-Sacker bifurcation, chaos, and local stability of a discrete Hepatitis C virus model},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {11},
pages = {31985-32013},
keywords = {HCV model, chaos, bifurcations, numerical simulation, stability},
url = {https://www.sciopen.com/article/10.3934/math.20241537},
doi = {10.3934/math.20241537},
abstract = {In this paper, we explore the bifurcation, chaos, and local stability of a discrete Hepatitis C virus infection model. More precisely, we studied the local stability at fixed points of a discrete Hepatitis C virus model. We proved that at a partial infection fixed point, the discrete HCV model undergoes Neimark-Sacker bifurcation, but no other local bifurcation exists at this fixed point. Moreover, it was also proved that period-doubling bifurcation does not occur at liver-free, disease-free, and total infection fixed points. Furthermore, we also examined chaos control in the understudied discrete HCV model. Finally, obtained theoretical results were confirmed numerically.}
}